This brief analysis builds upon the work presented in [viXra:2207.0051]. The observations discussed aim to substantiate the rationale behind an alternative cosmological model to the standard one. The project, named "4-Sphere" and currently under development, operates within the framework of Special Relativity.Astronomers posit that Type Ia Supernovae serve as a cosmic clock. Their observational efforts focus on correlating the time dilation of this clock with the redshift (z) of the supernova, thereby seeking to identify the cosmological model that best aligns with the observed data.The measured time dilation is also utilized in the distance calculations of Type Ia supernovae, as demonstrated in my work [viXra:2208.0152].The Friedmann-Lemaître-Robertson-Walker (FLRW) metric, a cornerstone of the ΛCDM model, currently the most advanced model with significant predictive and empirical successes, attributes its dominance over alternative models primarily to the time dilation analysis of supernovae. Its prediction yields a value of (1+z), where z represents the redshift.In this concise discussion, we aim to delineate the core issues at stake, articulating our perspective and comparing the standard model with alternative models, using time dilation in Special Relativity (SR) as a benchmark.To ensure transparency, I have outlined the method for verifying my application of the mean squares estimation: Both the instructions for installing the necessary software, and the supernova data, can be found in my OSF Project Wiki Pages. You can access it in: "Supernova validation m.s. extimation". This involves using Python, and the small initial effort to configure its working environment is amply rewarded by the powerful functionalities that this platform offers in the scientific field (Visual Studio offers to developers the "Python Development Tool for Windows").